Abstract Polymer gel plates may be programmed to morph into three-dimensional configurations upon swelling. An effective strategy to control such shape transformations consists in patterning the in-plane cross-linking density of the polymer network to realize non-homogeneous swelling. In general, one needs to solve an inverse problem to determine the shear modulus field that produces a given target shape. Here, we propose a computational framework for the solution of such an inverse problem, which we validate against two benchmark problems, i.e. making cones and saddles from gel disks.

中文翻译：

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可编程形状凝胶板的计算设计

摘要 聚合物凝胶板可以被编程为在膨胀时变形为三维结构。控制这种形状转变的有效策略在于对聚合物网络的面内交联密度进行图案化，以实现非均匀溶胀。通常，需要解决一个逆问题来确定产生给定目标形状的剪切模量场。在这里，我们提出了用于解决此类逆问题的计算框架，我们针对两个基准问题对其进行了验证，即从凝胶盘制作锥体和鞍座。